Add Edge to face deleted
Select the front two middle edges (like in the image below).

Turn on vertex (or edge) snapping, and extrude those selected edges along the Y axis to the middle.

Now select the pairs of edges to create the new faces.
In this image I already filled one face and have another selection ready for filling.



Do note that this does create a triangle in the corner, depending of what you are going to do with this mesh that may be undesirable.



Now here is an animated gif of the whole process.


Another way, if you have the F2 addon enabled, is to select the corer vertex and simply press F. Repeat for the bottom three faces. Then fill the vertical faces like before.